Lie derivations on rings of differential operators

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dc.contributor.authorChung, Myungsuken
dc.contributor.committeechairFarkas, Daniel R.en
dc.contributor.committeememberSnider, Robert L.en
dc.contributor.committeememberHaskell, Peter E.en
dc.contributor.committeememberHolub, James R.en
dc.contributor.committeememberMcCoy, Robert A.en
dc.contributor.departmentMathematicsen
dc.date.accessioned2014-03-14T21:09:56Zen
dc.date.adate2006-03-02en
dc.date.available2014-03-14T21:09:56Zen
dc.date.issued1995-04-04en
dc.date.rdate2006-03-02en
dc.date.sdate2006-03-02en
dc.description.abstractDerivations on rings of differential operators are studied. In particular, we ask whether Lie derivations are forced to be associative derivations. This is established for the Weyl algebras, which provides the details of a theorem of A. Joseph. The ideas are extended to localizations of Weyl algebras. As a corollary, the implication is verified for the universal enveloping algebras of nilpotent Lie algebras.en
dc.description.degreePh. D.en
dc.format.extentiv, 44 leavesen
dc.format.mediumBTDen
dc.format.mimetypeapplication/pdfen
dc.identifier.otheretd-03022006-093413en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-03022006-093413/en
dc.identifier.urihttp://hdl.handle.net/10919/37457en
dc.language.isoenen
dc.publisherVirginia Techen
dc.relation.haspartLD5655.V856_1995.C486.pdfen
dc.relation.isformatofOCLC# 32883487en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectWeyl algebrasen
dc.subject.lccLD5655.V856 1995.C486en
dc.titleLie derivations on rings of differential operatorsen
dc.typeDissertationen
dc.type.dcmitypeTexten
thesis.degree.disciplineMathematicsen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.leveldoctoralen
thesis.degree.namePh. D.en

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